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Finding the Fourth Proportional to 224.75, 310.01 and 159.14

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Solution

The fourth proportional to 224.75, 310.01 and 159.14 is: 219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.75 : 310.01 = 159.14 : x
  2. Step 2: Convert to fraction form
    224.75/310.01 = 159.14/x
  3. Step 3: Cross multiply
    224.75x = 310.01 × 159.14
  4. Step 4: Simplify right side
    224.75x = 49,334.99
  5. Step 5: Solve for x
    x = 49,334.99/224.75
  6. Step 6: Final answer
    x = 219.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.